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Finding the Fourth Proportional to 1,523.65, 2,284.10 and 549.07

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Solution

The fourth proportional to 1,523.65, 2,284.10 and 549.07 is: 823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.65 : 2,284.10 = 549.07 : x
  2. Step 2: Convert to fraction form
    1,523.65/2,284.10 = 549.07/x
  3. Step 3: Cross multiply
    1,523.65x = 2,284.10 × 549.07
  4. Step 4: Simplify right side
    1,523.65x = 1,254,119.37
  5. Step 5: Solve for x
    x = 1,254,119.37/1,523.65
  6. Step 6: Final answer
    x = 823.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.